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Question

Write the expanded form of the given decimal using a place value chart: 317.29

A
(3×100)+(1×10)+(7×1)+(2×10)+(9×100)
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B
(3×100)+(1×10)+(7×1)+(2×110)+(9×1100)
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Solution

The correct option is B (3×100)+(1×10)+(7×1)+(2×110)+(9×1100)
Let's plot the number in a place value table chart.
Place Value Chart
Hundreds Tens Ones . Tenths Hundredths
3 1 7 . 2 9

Now write the expanded form by multiplying the face value with its place value, starting from the left-most column.

For the hundreds column, expansion is

Face value×Place value
=3×100

Perform a similar operation for all the face values and add them.

The expanded form of 317.29 is

(3×100)+(1×10)+(7×1)+(2×110)+(9×1100)

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